Can broodies successfully share hatch?

All three of my frizzle cochins have now gone broody but seem to have worked out some kind of deal where they rotate sitting on the nest. At first they were egg stealing from each other but then we made a "private" nest box for the original broody. Well at times all three of them are piled in there together. No one seems to mind and they also are rotating who is sitting on them while the other one or two gets up and eats, drinks, poos.